Asymptotic behavior of solutions of a nonlinear neutral generalized pantograph equation with impulses

In: Mathematica Slovaca, vol. 65, no. 5

Kaizhong Guan - Qisheng Wang

Detaily:

Rok, strany: 2015, 1049 - 1062

Kľúčové slová:

asymptotic behavior, nonlinear pantograph equation, Lyapunov functional, impulse

DOI: https://doi.org/10.1515/ms-2015-0072

O článku:

Sufficient conditions are obtained for the asymptotic behavior of solutions of the nonlinear neutral generalized pantograph equation with impulses ((d) / (dt))[x(t)-a(t)x(α t)]+p(t)f(x(β t-τ))=0, t≥ t₀, t\neq t_k, x(t_k)=b_kx(t^-_k)+((1-b_k) / (β)) \int_{β t_k-τ}^t_kp (((s+τ) / (β)))f(x(s)) ds, k=1,2,....

Ako citovať:

ISO 690:

Guan, K., Wang, Q. 2015. Asymptotic behavior of solutions of a nonlinear neutral generalized pantograph equation with impulses. In Mathematica Slovaca, vol. 65, no.5, pp. 1049-1062. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0072

APA:

Guan, K., Wang, Q. (2015). Asymptotic behavior of solutions of a nonlinear neutral generalized pantograph equation with impulses. Mathematica Slovaca, 65(5), 1049-1062. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0072

O vydaní:

Publikované: 1. 10. 2015